Hadamard and Fejér–Hadamard Inequalities for    α , h − m   − p -Convex Functions via Riemann–Liouville Fractional Integrals | Zendy

Wenyan Jia | Zendy; Muhammad Yussouf | Zendy; Ghulam Farid | Zendy; Khuram Ali Khan | Zendy

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Hadamard and Fejér–Hadamard Inequalities for

(α, h - m) - p

-Convex Functions via Riemann–Liouville Fractional Integrals

Author(s) -

Wenyan Jia,

Muhammad Yussouf,

Ghulam Farid,

Khuram Ali Khan

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9945114

Subject(s) - hadamard transform , mathematics , convex function , hadamard three lines theorem , regular polygon , pure mathematics , discrete mathematics , mathematical analysis , hadamard matrix , geometry

In this paper, we introduce α , h − m − p -convex function and some related functions. By applying this generalized definition, new versions of Hadamard and Fejér–Hadamard fractional integral inequalities for Riemann–Liouville fractional integrals are given. The presented results hold at the same time for different types of convexities.

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